Boats and Rivers

In this study, effective exploration has been conducted with respect to the concept of boats and rivers. However, in the study, first and foremost discussion is conducted on the concepts and situations that are assisted with the motion of the boat concerning the river. Furthermore, in the study, several conditions are explored for both upstream and downstream. The formulas are also catered to focusing on the conditions associated with still waters, with that of defining the steams. Discussions have also been made on the types of questions that are concerned with the specific conditions.

Understanding the concepts based on boats and rivers

Delving into the study, it is well acknowledged that the notions that are associated with the boats and streams are frequently asked in several competitive examinations. However, it is noticed that the basic concepts that underlie the concepts associated with boats and streams are majorly relation that is evidenced by the aspects of time taken, speed acknowledged and as well as distance travelled.  It also needs it noted that before entering into the chapter one needs to know the meaning of the terminologies that are associated with boats and streams. The term “upstream” refers to the motion of a swimmer in just the opposite direction of the stream. This is contradictory to the term ”downstream” as it implies the movement of boats along with the flow of the river. Moreover, stream refers to the water that has currently associated with it.

Formulas associated with boats and rivers

Several formulas are there that effectively help in solving the problem associated with the situation that is based on the specific conditions. “u” refers to the speed of the boat and “v” determines the speed of the stream, to that the formulas are as follows.

• “Upstream” equals (u-v) kilometres per hour
• “Downstream” equals (u+v) kilometres per hour
• Speed of stream equals half multiplied by the difference of speed of downstream and upstream
• In still water, the speed of the boat equals half multiplied by the sum of downstream and upstream

Calculating the speed of the river and the boat

Calculating the speed of the boat as well as the stream is quite easy if one properly understands the concepts associated with it. For example, a boat is moving down in the river with a speed of 28 km in 4 hours time and going up the river, takes 6 hours for 12 km. Determine the speed of the boat and the river. In answering the question, the speed of the boats in stagnant water will be half multiplied by the summation of “upstream and downstream”, which means, [½ (7+2)]= 4.5 km per hour. On the other hand, the speed of the stream is denoted by half multiplied by differences between upstream and downstream, i.e.,  [½ (7-2)]= 2.5 km per hour.

Riverboat problems and solutions

In order to resolve the problem associated with boats and streams, directions, and formulas are to be considered. Moreover, the direction of flow of current also needs to be taken care of. 

Tips that will support in solving the problems of rivers and boats

In order to easily and correctly solve the problem associated with the chapters of stream and boats one needs to follow a few significant tips. The first and foremost notion is to effectively memorize the formulas associated with boats and streams. This is followed by determining the direction of flow and as well focusing on the concepts.

River and boat problems

Several problems are noticed, one such is, an individual row 18 km in a downward motion in 4 hours and returns in 12 hours then the speed of the person with that of the stream is, [½ (4.5-1.5)]= 1.5 km per hour is the speed of stream and 3km per hour as the speed of the man.

Conclusion 

Concluding the study, it is noticed that an in-depth exploration has been conducted catering to the concepts associated with boats and streams. Discussions have also been made on the formulas associated with several conditions such as upstream, downstream and also in still waters. Moreover, the determinations of the speed of the boats are acknowledged based on the distance travelled with that of the directions. In addition to these, several tips are explored that have effectively supported solving the sums associated with the topic of boats and streams. Problems are also discussed with simpler ways to solve the problems by clearing the concepts associated with boat and stream.